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Chapter 1-3: Variables and Expressions

Chapter 1-3: Variables and Expressions. Variable: a placeholder for any value Algebraic Expression: contains sums and/or products of variables and numbers Substitution Property of Equality: replacing a variable with a number

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Chapter 1-3: Variables and Expressions

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  1. Chapter 1-3: Variables and Expressions Variable: a placeholder for any value Algebraic Expression: contains sums and/or products of variables and numbers Substitution Property of Equality: replacing a variable with a number Defining a Variable: Choosing a variable that will represent a certain quantity

  2. Example 1 Evaluate Expressions Evaluate 15 – x + y if x = 9 and y = 11 Example 2 Evaluate Expressions Evaluate each expression if a = 8, b = 5, and c = 3. a. 4c + 3a b. 9a – ( 6c + 2b) – 14 Example 3 Translate Verbal Phrases Translate each phrase into an algebraic expression. a. eight degrees less than yesterday’s temperature b. three more than six times a number

  3. Example 4 Use Expressions to Solve Problems CANDY : The Sweet Tooth Candy Shop sells fudge for $4 per pound and licorice for $3 per pound. a. Write an expression that can be used to find the total cost of a purchase of fudge and licorice. b. Suppose Emily goes to The Sweet Tooth Candy Shop and purchase 2 pounds of fudge and 4 pounds of licorice. What was the total cost of her purchase?

  4. Check for Understanding SPACE: Due to gravity, objects weigh three times as much on Earth as they do on Mercury. a. Suppose the weight of an object on Mercury is w. Write an expression for the object’s weight on Earth. b. How much would an object weigh on Earth if it weighs 25 pounds on Mercury?

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